Answer:
1a. 1.5
1b. 0.38
Step-by-step explanation:
a.
one full grid is full (1) and half a grid is full (0.5)
b.
there are 100 squares and 38 of them are filled in,so you divide 38 by 100 which is 0.38
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
Answer:
Step-by-step explanation:
The first one is bigger then all of them
Answer:
x = -3
Step-by-step explanation:
(x - 2)^3 + 13 = -112
Subtract 13 from both sides
(x - 2)^3 = -125
Take the cube root of both sides
x - 2 = -5
Add 2 to both sides
x = -3